Posted by lily on Tuesday, October 13, 2009 at 8:52pm.
What is 7(y+3)+2y simplified? and if possible, can you break down how you got it?
Simplifying equations confuses me easily.

math  Ms. Sue, Tuesday, October 13, 2009 at 8:55pm
7(y+3)+2y
7y + 21 + 2y
9y + 21

math  Tasuba, Tuesday, October 13, 2009 at 8:56pm
7(y+3)2y
multiply 7 with y and 3
7y+212y
collect like terms
7y2y+21
5y+21
Done

math  Ms. Sue, Tuesday, October 13, 2009 at 8:57pm
Tasuba  I think you've misread the problem. I don't see any minus signs in the original problem.

math  Christiaan, Tuesday, October 13, 2009 at 9:01pm
The first thing you should do is try to remove the brackets. You can do this by using distributivity. In symbols, this means the following:
a*(b + c) = a*b + a*c
As you can see, the first term of the equation is 7*(y+3)
So, using distributivity, we find that
7*(y+3) = 7*y + 7*3 = 7y + 21
So, the equation can be simplified in the following manner:
7(y+3)+2y = 7y + 21 + 2y
Now, we have to terms with y. if we put them together, we get:
7y + 2y + 21
If we use the formula of distributivity in reverse, we find that:
7y + 2y = (7+2)*y = 9y
So, the equation can be further simplified in the following manner:
7y+2y+21 = 9y + 21
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